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Finding the Third Proportional to 569,842.17 and 902,330.51

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Solution

The third proportional to 569,842.17 and 902,330.51 is: 1,428,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,842.17 : 902,330.51 = 902,330.51 : x
  2. Step 2: Convert to fraction form
    569,842.17/902,330.51 = 902,330.51/x
  3. Step 3: Cross multiply
    569,842.17x = 902,330.51 × 902,330.51
  4. Step 4: Simplify right side
    569,842.17x = 814,200,345,329.16
  5. Step 5: Solve for x
    x = 814,200,345,329.16/569,842.17
  6. Step 6: Final answer
    x = 1,428,817.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.